12035440000 has 320 divisors, whose sum is σ = 32425620480. Its totient is φ = 4435200000.

The previous prime is 12035439937. The next prime is 12035440013. The reversal of 12035440000 is 4453021.

12035440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 12035440000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57039895 + ... + 57040105.

It is an arithmetic number, because the mean of its divisors is an integer number (101330064).

Almost surely, 2^12035440000 is an apocalyptic number.

12035440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12035440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212810240).

12035440000 is an abundant number, since it is smaller than the sum of its proper divisors (20390180480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12035440000 is an equidigital number, since it uses as much as digits as its factorization.

12035440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 12035440000 its reverse (4453021), we get a palindrome (12039893021).

The spelling of 12035440000 in words is "twelve billion, thirty-five million, four hundred forty thousand".